Finding the Third Proportional to 78.05 and 116.65

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 116.65 = 116.65 : x
2. Step 2: Convert to fraction form
   78.05/116.65 = 116.65/x
3. Step 3: Cross multiply
   78.05x = 116.65 × 116.65
4. Step 4: Simplify right side
   78.05x = 13,606.86
5. Step 5: Solve for x
   x = 13,606.86/78.05
6. Step 6: Final answer
   x = 174.34